BMW M340i lease numbers don't make sense to me

So I received this quote for a Demo 2020 M340i with about 200 miles on it. The 575 number just doesn’t compute in my head with the info I was told.
I was told the deal has the following:
12k/36 lease
MF: 0.00118 + 7 MSD = 0.00083
RV: 59%
2k rebate
0 down+ first month + MSDs DAS
4% VA Tax
+3k equity from my trade in

That 575 number just seems not correct and the calculator also doesn’t come out to that number either.
This is my first lease and my brain hurts. But my 2nd lease quote, the 1st made perfect sense with all the numbers, but this one is just confusing me.

Do you have in writing that they’re giving you buy rate before the MSDs or are you just assuming?

Is the $3k equity from your trade positive or negative?

The sales manager confirmed that the deal has base MF before MSD.
Trade in has positive 3.3k equity. Owe 11.7k, car is worth 15k.

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